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Finding the Third Proportional to 248,474 and 536,290

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Solution

The third proportional to 248,474 and 536,290 is: 1,157,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,474 : 536,290 = 536,290 : x
  2. Step 2: Convert to fraction form
    248,474/536,290 = 536,290/x
  3. Step 3: Cross multiply
    248,474x = 536,290 × 536,290
  4. Step 4: Simplify right side
    248,474x = 287,606,964,100
  5. Step 5: Solve for x
    x = 287,606,964,100/248,474
  6. Step 6: Final answer
    x = 1,157,493.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.